Results 51 to 60 of about 5,096 (155)
Optimal Algebras and Novel Solutions of Time‐Fractional (2 + 1) − D European Call Option Model
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.In this article, we analyse the time‐fractional (2 + 1) − D Black–Scholes model for European call options by employing Lie symmetry analysis. We derive the infinitesimal transformations and classify the optimal systems. Furthermore, under the geometric Brownian motion, we reduced the given model to ordinary differential equation (ODE) with integer ...
Gimnitz Simon S. +3 more
wiley +1 more source
Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations
International Journal of Analysis and Applications, 2019 The holomorphic results for fractional differential operator formals have been established. The analytic continuation of these outcomes has been studied for the fractional differential formalwhere U is the open unit disk. The benefit of such a problem is
Rabha W. Ibrahim, Maslina Darus
doaj +2 more sources
A posteriori error estimates for a coupled piezoelectric model
PAMM, Volume 24, Issue 4, December 2024.Abstract The paper addresses a coupled problem describing piezoelectric effects in an elastic body. In this context, we derive upper bounds for the distance between the exact solution and any approximation within the corresponding energy class of functions that satisfy the boundary conditions.
Ulrich Langer +2 more
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 34, Issue 18, Page 11887-11923, December 2024.Abstract This article presents a discrete‐time robust model reference adaptive controller and adaptive sigmoid super‐twisting sliding mode (RMRAC‐ASSTSM) and its stability analysis using Lyapunov stability theory. This control structure is robust to matched and unmatched dynamics.
Guilherme Vieira Hollweg +3 more
wiley +1 more source
IET Control Theory &Applications, Volume 18, Issue 17, Page 2448-2467, November 2024.The present paper introduces equivalent state‐space models of the cascade control structure both in continuous and discrete time and design guidelines for the control gains carried out by pole placement. The paper presents closed‐form expressions for the control gains as the function of desired damping ratios, the natural angular frequency of the ...
Csaba Budai +2 more
wiley +1 more source
Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
wiley +1 more source
Small‐scale distribution of linear patterns of primes
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Let Ψ=(ψ1,⋯,ψt):`Zd→Rt$\Psi =(\psi _1,\hdots, \psi _t):`\mathbb {Z}^d\rightarrow \mathbb {R}^t$ be a system of linear forms with finite complexity. In their seminal paper, Green and Tao showed the following prime number theorem for values of the system Ψ$\Psi$: ∑x∈[−N,N]d∏i=1t1P(ψi(x))∼(2N)d(logN)t∏pβp,$$\begin{equation*} \sum _{x\in [-N,N]^d}
Mayank Pandey, Katharine Woo
wiley +1 more source
Poissonian pair correlation for higher dimensional real sequences
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this article, we examine the Poissonian pair correlation (PPC) statistic for higher dimensional real sequences. Specifically, we demonstrate that for d⩾3$d\geqslant 3$, almost all (α1,…,αd)∈Rd$(\alpha _1,\ldots ,\alpha _d) \in \mathbb {R}^d$, the sequence ({xnα1},⋯,{xnαd})$\big (\lbrace x_n\alpha _1\rbrace,\dots,\lbrace x_n\alpha _d\rbrace \
Tanmoy Bera +2 more
wiley +1 more source
S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation
Particles, 2019 Nonlocal quantum theory of a one-component scalar field in D-dimensional Euclidean spacetime is studied in representations of S -matrix theory for both polynomial and nonpolynomial interaction Lagrangians.
Ivan V. Chebotarev +3 more
doaj +1 more source
Vinogradov's Theorem with Fouvry-Iwaniec Primes
, 2018 We show that every sufficiently large $x\equiv 3(4)$ can be written as the sum of three primes, each of which is a sum of a square and a prime square. The main tools are a transference version of the circle method and various sieve related ideas.Comment:
Grimmelt, Lasse
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